Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries

J.Comput.Phys. 193 (2004) 398-425 We study the propagation of waves across fixed mesh refinement boundaries in linear and nonlinear model equations in 1--D and 2--D, and in the 3--D Einstein equations of general relativity. We demonstrate that using linear interpolation to set the data in guard cell...

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Bibliographic Details
Main Authors Choi, Dae-Il, Brown, J. David, Imbiriba, Breno, Centrella, Joan, MacNeice, Peter
Format Journal Article
LanguageEnglish
Published 04.07.2003
Subjects
Physics - Computational Physics
Physics - General Relativity and Quantum Cosmology
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Summary:J.Comput.Phys. 193 (2004) 398-425 We study the propagation of waves across fixed mesh refinement boundaries in linear and nonlinear model equations in 1--D and 2--D, and in the 3--D Einstein equations of general relativity. We demonstrate that using linear interpolation to set the data in guard cells leads to the production of reflected waves at the refinement boundaries. Implementing quadratic interpolation to fill the guard cells suppresses these spurious signals.
DOI:10.48550/arxiv.physics/0307036